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Finding the Third Proportional to 112,739 and 168,753

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Solution

The third proportional to 112,739 and 168,753 is: 252,597.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,739 : 168,753 = 168,753 : x
  2. Step 2: Convert to fraction form
    112,739/168,753 = 168,753/x
  3. Step 3: Cross multiply
    112,739x = 168,753 × 168,753
  4. Step 4: Simplify right side
    112,739x = 28,477,575,009
  5. Step 5: Solve for x
    x = 28,477,575,009/112,739
  6. Step 6: Final answer
    x = 252,597.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.